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1. A shipment of 50 mechanical devices consists of 42 good ones and eight defective. An inspector selects five devices at random without replacement. What is the probability that at most four are good? Hint: Use the compliment rule when solving this problem to make it a lot easier.
2. Suppose that the number of times a high school student says "like" in a sentence is approximately normally distributed with a mean of 4 and a standard deviation of .5.
a. What percentage of high schoolers say "like" in a sentence more than 5 times?
b. For high schoolers, what is the 86th percentile for the number of times that "like" is said in a sentence?
3. Suppose that 60% of employees at a particular corporation participate in the optional retirement plan. If a random sample of 50 employees is selected, what is the probability that at least 25 employees in the sample will participate in the optional retirement plan? (Use the normal distribution as an approximation and make the continuity correction.
Accidents at a chemical plant occur at a rate of 1.9 per month. Find: The expected number of accidents in a year? The probability of no accidents next month?
Since 38% is less than 40%, does this mean that immediate production cutbacks are needed or can this difference of 2 percentage points be attributed to sampling?
What control chart(s) would you use for this data and what are the final control limits?
A hotel claims that 95% of its customers are very satisfied with its service. Complete parts a through d below based on a random sample of six customers. a. What is the probability that exactly five customers are very satisfied?
At α = .05, is there a difference in variances? Illustrate all steps clearly, including illustration of the decision rule.
Linear correlation between two variables. Find the critical values of r given the number of pairs of data n and the significance level alpha. n = 11, Alpha = 0.01
Determine whether the following equations have a solution or not? Justify your answer. What type of solution do you get for quadratic equations where D
If the campus was equally divided between males and females, what are the probabilities of males and females on this campus would be at risk?
A consumer organization estimates that over a 1-year period 17 percent of cars will require to be repaired once, 7 percent will need repairs twice, and 4 percent will require three or more repairs. What is the probability that a car chosen at rand..
explosive devices used in mining operations produce nearly circular craters when detonated. the radii of these craters
Heights are sampled of kids from three schools. Using a 0.05 significance level, if when looking at ANOVA results, your p-value is 0.04, what can you say about your sample data? No minimum word count.
Is is possible to modify a semantic differential scale into a 10-point scale? If so, should the data be treated as ordinal or interval?
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